Results 91 to 100 of about 36,953 (196)
Symmetrization in nonlocal diffusion problems
, 2022 We study Talenti's type symmetrization properties for solutions of linear stationary and evolution problems. Our main result establishes the comparison in norm between the solution of a problem and its symmetric version when nonlocal diffusion defined through integrable kernels is replacing the usual local diffusion defined by a second order ...
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Nonlocal degenerate reaction-diffusion equations with general nonlinear diffusion term
Electronic Journal of Differential Equations, 2014 We study a class of second-order nonlocal degenerate semilinear reaction-diffusion equations with general nonlinear diffusion term. Under a set of conditions on the general nonlinear diffusivity and nonlinear nonlocal source term, we prove global ...
Sikiru Adigun Sanni
doaj
Wave propagation in a hygrothermoelastic half-space along with non-local variable
Journal of Applied Science and EngineeringThis particular work is an effort to investigate the propagation of wave in hygrothermoelastic medium in the light of Eringen’s nonlocal theory of elasticity. The coupled wave equations in terms of displacement, temperature and moisture concentration are
Vikas Sharma +2 more
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International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.ABSTRACT Localized deformation in dense granular materials, often culminating in the formation of shear bands, is a key failure mechanism in geotechnical and material systems. However, predicting the onset of such localization remains a fundamental challenge due to the system's inherent inelasticity and microstructural complexity.
Zhennan Zhu +4 more
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Advanced Nonlinear StudiesThe purpose of this paper is to investigate the principal spectral theory and asymptotic behavior of the spectral bound for cooperative nonlocal dispersal systems, specifically focusing on the case where partial diffusion coefficients are zero, referred ...
Zhang Lei
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A Peridynamic Framework for Modeling Progressive Failure in Porous Sandstone Indentation
International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.ABSTRACT A state‐based peridynamic model is proposed to simulate the failure mechanisms in porous rocks, using Bentheim sandstone as a specific example. Experimental observations reveal a transition from brittle to ductile failure under increasing triaxial compression. This behavior is attributed to pore compaction. The peridynamic model is enhanced to
Sahir N. Butt +2 more
wiley +1 more source
Numerical Solutions Of The Nonlocal Problems For The Diffusion Partial Differential Equations
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017 In this work, we use the explicit and the implicit finite-difference methods to solve the nonlocal problem that consists of the diffusion equations together with nonlocal conditions.
Reem. M. Kubba
doaj
Dynamics analysis of a nonlocal diffusion dengue model. [PDF]
Sci Rep, 2023 Chang K, Zhang Z, Liang G.
europepmc +1 more source
New Phytologist, EarlyView.Summary Understanding when and where drought stress originates in the soil–plant continuum is essential for predicting plant responses to climate change. While stomatal closure is a well‐known reaction to declining soil moisture, the precise hydraulic trigger remains unresolved.
Sara Di Bert +8 more
wiley +1 more source
Asymptotic behaviour of nonlocal reaction–diffusion equations
Nonlinear Analysis: Theory, Methods & Applications, 2010 Ministerio de Ciencia y Tecnología BFM2002 ...
Anguiano Moreno, María +2 more
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